1294728960 has 288 divisors, whose sum is σ = 4827110400. Its totient is φ = 295636992.

The previous prime is 1294728943. The next prime is 1294728977. The reversal of 1294728960 is 698274921.

It is an interprime number because it is at equal distance from previous prime (1294728943) and next prime (1294728977).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1316629 + ... + 1317611.

It is an arithmetic number, because the mean of its divisors is an integer number (16760800).

Almost surely, 2^1294728960 is an apocalyptic number.

1294728960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1294728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413555200).

1294728960 is an abundant number, since it is smaller than the sum of its proper divisors (3532381440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1294728960 is an frugal number, since it uses more digits than its factorization.

1294728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 1294728960 is about 35982.3423362071. The cubic root of 1294728960 is about 1089.9158142764.

The spelling of 1294728960 in words is "one billion, two hundred ninety-four million, seven hundred twenty-eight thousand, nine hundred sixty".